To expand the expression \( \frac{7}{4}(8h + 3) \), you need to distribute \( \frac{7}{4} \) to both terms inside the parentheses.
Here’s how you do it step by step:
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Distribute \( \frac{7}{4} \) to \( 8h \): \[ \frac{7}{4} \times 8h = \frac{7 \times 8h}{4} = \frac{56h}{4} = 14h \]
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Distribute \( \frac{7}{4} \) to \( 3 \): \[ \frac{7}{4} \times 3 = \frac{7 \times 3}{4} = \frac{21}{4} \]
Now, combine the results: \[ \frac{7}{4}(8h + 3) = 14h + \frac{21}{4} \]
So, the expanded form of the expression is: \[ 14h + \frac{21}{4} \]